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Finding the Fourth Proportional to 116,051.76, 160,176.92 and 70,720.38

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Solution

The fourth proportional to 116,051.76, 160,176.92 and 70,720.38 is: 97,609.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,051.76 : 160,176.92 = 70,720.38 : x
  2. Step 2: Convert to fraction form
    116,051.76/160,176.92 = 70,720.38/x
  3. Step 3: Cross multiply
    116,051.76x = 160,176.92 × 70,720.38
  4. Step 4: Simplify right side
    116,051.76x = 11,327,772,649.63
  5. Step 5: Solve for x
    x = 11,327,772,649.63/116,051.76
  6. Step 6: Final answer
    x = 97,609.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.